Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51800o |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-202343750000 = -1 · 24 · 511 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -4 -2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1325,-11125] |
[a1,a2,a3,a4,a6] |
Generators |
[570:4375:27] |
Generators of the group modulo torsion |
j |
1029037824/809375 |
j-invariant |
L |
10.946780284473 |
L(r)(E,1)/r! |
Ω |
0.55811928816471 |
Real period |
R |
2.4517116046129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600c1 10360d1 |
Quadratic twists by: -4 5 |